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Finding the Third Proportional to 897,882,234,530 and 1,953,827,952,002

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Solution

The third proportional to 897,882,234,530 and 1,953,827,952,002 is: 4,251,608,417,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,882,234,530 : 1,953,827,952,002 = 1,953,827,952,002 : x
  2. Step 2: Convert to fraction form
    897,882,234,530/1,953,827,952,002 = 1,953,827,952,002/x
  3. Step 3: Cross multiply
    897,882,234,530x = 1,953,827,952,002 × 1,953,827,952,002
  4. Step 4: Simplify right side
    897,882,234,530x = 3,817,443,666,024,329,545,515,008
  5. Step 5: Solve for x
    x = 3,817,443,666,024,329,545,515,008/897,882,234,530
  6. Step 6: Final answer
    x = 4,251,608,417,247.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.